Search a number
-
+
44940336 = 24371311021
BaseRepresentation
bin1010101101101…
…1110000110000
310010120012112220
42223123300300
543001042321
64243121040
71053662250
oct253336060
9103505486
1044940336
1123405381
1213073180
13940641c
145d7b960
153e2a9c6
hex2adbc30

44940336 has 80 divisors (see below), whose sum is σ = 133824768. Its totient is φ = 12729600.

The previous prime is 44940331. The next prime is 44940361. The reversal of 44940336 is 63304944.

44940336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44940297 and 44940306.

It is not an unprimeable number, because it can be changed into a prime (44940331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43506 + ... + 44526.

Almost surely, 244940336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44940336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66912384).

44940336 is an abundant number, since it is smaller than the sum of its proper divisors (88884432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44940336 is a wasteful number, since it uses less digits than its factorization.

44940336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 44940336 is about 6703.7553654649. The cubic root of 44940336 is about 355.5320620472.

The spelling of 44940336 in words is "forty-four million, nine hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1021 1048 1572 1834 2042 2096 2751 3063 3144 3668 4084 5502 6126 6288 7147 7336 8168 11004 12252 14294 14672 16336 21441 22008 24504 28588 42882 44016 49008 57176 85764 114352 133751 171528 267502 343056 401253 535004 802506 936257 1070008 1605012 1872514 2140016 2808771 3210024 3745028 5617542 6420048 7490056 11235084 14980112 22470168 44940336